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Exercises · 4.7

Q.Discuss the shape of the following molecules using the VSEPR model: BeCl2BeCl_2, BCl3BCl_3, SiCl4SiCl_4, AsF5AsF_5, H2SH_2S, PH3PH_3.

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Using the VSEPR model, the shape of a molecule is determined by the number of bonding and lone pairs around the central atom. BeCl2BeCl_2 is linear, BCl3BCl_3 is trigonal planar, SiCl4SiCl_4 is tetrahedral, AsF5AsF_5 is trigonal bipyramidal, H2SH_2S is bent, and PH3PH_3 is trigonal pyramidal.

The VSEPR (Valence Shell Electron Pair Repulsion) model is built on a simple, powerful idea: electron pairs — whether they are in bonds or lone pairs — repel each other. They arrange themselves as far apart as possible around a central atom to minimize this repulsion. The shape of the molecule is then determined by the positions of the atoms (not the lone pairs), but the lone pairs still push the bonds out of the way.

Let’s walk through each molecule step by step.


1. BeCl2BeCl_2

Step 1: Count valence electrons.

Beryllium has 2 valence electrons. Each chlorine has 7, but we only care about the central atom’s electron count for the basic VSEPR geometry. Be forms two single bonds with the two Cl atoms.

Step 2: Determine electron pairs around Be.

Be has 2 bonding pairs and no lone pairs. That’s a total of 2 electron domains.

Step 3: Predict geometry.

Two electron domains repel to opposite sides — the angle is 180∘180^\circ. The shape is linear.

Tip

Be is an exception to the octet rule — it’s happy with just 4 electrons (two bonds). This is why BeCl2BeCl_2 is linear and stable.


2. BCl3BCl_3

Step 1: Central atom electron count.

Boron has 3 valence electrons. It forms three single bonds with three Cl atoms.

Step 2: Electron domains.

3 bonding pairs, 0 lone pairs. Total = 3 domains.

Step 3: Geometry.

Three domains repel to the corners of an equilateral triangle — bond angles 120∘120^\circ. The shape is trigonal planar.

Watch out

A common mistake is to think boron “needs” an octet. It doesn’t — it’s electron-deficient and stable with 6 electrons. So no lone pairs, no bending.


3. SiCl4SiCl_4

Step 1: Central atom.

Silicon has 4 valence electrons. It forms four single bonds with four Cl atoms.

Step 2: Electron domains.

4 bonding pairs, 0 lone pairs. Total = 4 domains.

Step 3: Geometry.

Four domains repel to the vertices of a tetrahedron — bond angles 109.5∘109.5^\circ. The shape is tetrahedral.

Note

This is the classic “perfect” tetrahedron. All bonds are equivalent, and the molecule is nonpolar despite the polar bonds, because symmetry cancels the dipoles.


4. AsF5AsF_5

Step 1: Central atom.

Arsenic has 5 valence electrons. It forms five single bonds with five F atoms.

Step 2: Electron domains.

5 bonding pairs, 0 lone pairs. Total = 5 domains.

Step 3: Geometry.

Five domains arrange as a trigonal bipyramid. There are two distinct positions: three equatorial bonds (at 120∘120^\circ to each other) and two axial bonds (at 90∘90^\circ to the equatorial plane). The shape is trigonal bipyramidal.

Tip

In a trigonal bipyramid, the axial bonds are slightly longer than the equatorial ones because they experience more repulsion from the equatorial pairs. This is a key detail for advanced questions.


5. H2SH_2S

Step 1: Central atom.

Sulfur has 6 valence electrons. It forms two single bonds with two H atoms.

Step 2: Electron domains.

2 bonding pairs, 2 lone pairs. Total = 4 domains.

Step 3: Geometry.

Four domains would ideally be tetrahedral (109.5∘109.5^\circ), but lone pairs repel more strongly than bonding pairs. They push the H–S–H bond angle down to about 92∘92^\circ (experimentally). The shape is bent (or V-shaped). …

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